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Finding the Fourth Proportional to 428,524.83, 591,370.34 and 234,950.76

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Solution

The fourth proportional to 428,524.83, 591,370.34 and 234,950.76 is: 324,235.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,524.83 : 591,370.34 = 234,950.76 : x
  2. Step 2: Convert to fraction form
    428,524.83/591,370.34 = 234,950.76/x
  3. Step 3: Cross multiply
    428,524.83x = 591,370.34 × 234,950.76
  4. Step 4: Simplify right side
    428,524.83x = 138,942,909,649.71
  5. Step 5: Solve for x
    x = 138,942,909,649.71/428,524.83
  6. Step 6: Final answer
    x = 324,235.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.